Vector A = 2î +33 and vector B = 2î – 63 + 2k. Part A What is the cross product A x B? Find the 2-component. Express your answer as integer. > View Available Hint(s) ? JÄx BỊa = Submit Part B Find the y-component. Express your answer as integer. > View Available Hint(s) ανη ΑΣΦ ? LÄ x Bly = Submit Part C Find the z-component. Express your answer as integer. > View Available Hint(s) VO AzO JÃ × B], =
Vector A = 2î +33 and vector B = 2î – 63 + 2k. Part A What is the cross product A x B? Find the 2-component. Express your answer as integer. > View Available Hint(s) ? JÄx BỊa = Submit Part B Find the y-component. Express your answer as integer. > View Available Hint(s) ανη ΑΣΦ ? LÄ x Bly = Submit Part C Find the z-component. Express your answer as integer. > View Available Hint(s) VO AzO JÃ × B], =
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
All the questions, please.
Part a, b, c
![### Vectors and Cross Products
#### Vectors Definition
- Vector **\(\vec{A}\)** is defined as:
\[
\vec{A} = 2\hat{i} + 3\hat{j}
\]
- Vector **\(\vec{B}\)** is defined as:
\[
\vec{B} = 2\hat{i} - 6\hat{j} + 2\hat{k}
\]
#### Problem Breakdown
##### Part A:
- **Task:** Determine the x-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
##### Part B:
- **Task:** Determine the y-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
##### Part C:
- **Task:** Determine the z-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
### Steps to Solve Cross Product
The cross product \(\vec{A} \times \vec{B}\) of two vectors \(\vec{A} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}\) and \(\vec{B} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}\) is calculated as:
\[
\vec{A} \times \vec{B} =
\begin{vmatrix}
\hat{i} & \hat{j} & \hat{k} \\
a_1 & a_2 & a_3 \\
b_1 & b_2 & b_3
\end{vmatrix}
\]
\[
= \hat{i}(a_2b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d1ce009-23a3-40ae-97d8-37e468e90451%2F0800991f-4623-428d-b644-44ec4106cce9%2Fst79eh9_processed.png&w=3840&q=75)
Transcribed Image Text:### Vectors and Cross Products
#### Vectors Definition
- Vector **\(\vec{A}\)** is defined as:
\[
\vec{A} = 2\hat{i} + 3\hat{j}
\]
- Vector **\(\vec{B}\)** is defined as:
\[
\vec{B} = 2\hat{i} - 6\hat{j} + 2\hat{k}
\]
#### Problem Breakdown
##### Part A:
- **Task:** Determine the x-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
##### Part B:
- **Task:** Determine the y-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
##### Part C:
- **Task:** Determine the z-component of the cross product \(\vec{A} \times \vec{B}\).
- **Instructions:** Express your answer as an integer.
- **Input Box:** Placeholder for solution entry.
- **Hint Option:** View available hints if needed.
- **Submit Button:** Confirm your answer entry.
### Steps to Solve Cross Product
The cross product \(\vec{A} \times \vec{B}\) of two vectors \(\vec{A} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}\) and \(\vec{B} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}\) is calculated as:
\[
\vec{A} \times \vec{B} =
\begin{vmatrix}
\hat{i} & \hat{j} & \hat{k} \\
a_1 & a_2 & a_3 \\
b_1 & b_2 & b_3
\end{vmatrix}
\]
\[
= \hat{i}(a_2b
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